Glauber dynamics in the continuum via generating functionals evolution
Autor(a) principal: | |
---|---|
Data de Publicação: | 2012 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.2/2593 |
Resumo: | We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well. |
id |
RCAP_6da6f009e0363addee480fb4a36e6b6d |
---|---|
oai_identifier_str |
oai:repositorioaberto.uab.pt:10400.2/2593 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
Glauber dynamics in the continuum via generating functionals evolutionGenerating functionalGlauber dynamicsInteracting particle systemContinuous systemOvsjannikov’s methodVlasov scalingWe construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.BirkhauserRepositório AbertoFinkelshtein, Dmitri L.Kondratiev, Yuri G.Oliveira, Maria João2013-07-22T09:52:43Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/2593engFinkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João - Glauber dynamics in the continuum via generating functionals evolution. "Complex Analysis and Operator Theory" [Em linha]. ISSN 1661-8254 (Print) 1661-8262 (Online). Vol. 6, nº 4 (2012), p. 923-9451661-8254info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:16:17Zoai:repositorioaberto.uab.pt:10400.2/2593Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:44:03.090143Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Glauber dynamics in the continuum via generating functionals evolution |
title |
Glauber dynamics in the continuum via generating functionals evolution |
spellingShingle |
Glauber dynamics in the continuum via generating functionals evolution Finkelshtein, Dmitri L. Generating functional Glauber dynamics Interacting particle system Continuous system Ovsjannikov’s method Vlasov scaling |
title_short |
Glauber dynamics in the continuum via generating functionals evolution |
title_full |
Glauber dynamics in the continuum via generating functionals evolution |
title_fullStr |
Glauber dynamics in the continuum via generating functionals evolution |
title_full_unstemmed |
Glauber dynamics in the continuum via generating functionals evolution |
title_sort |
Glauber dynamics in the continuum via generating functionals evolution |
author |
Finkelshtein, Dmitri L. |
author_facet |
Finkelshtein, Dmitri L. Kondratiev, Yuri G. Oliveira, Maria João |
author_role |
author |
author2 |
Kondratiev, Yuri G. Oliveira, Maria João |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Repositório Aberto |
dc.contributor.author.fl_str_mv |
Finkelshtein, Dmitri L. Kondratiev, Yuri G. Oliveira, Maria João |
dc.subject.por.fl_str_mv |
Generating functional Glauber dynamics Interacting particle system Continuous system Ovsjannikov’s method Vlasov scaling |
topic |
Generating functional Glauber dynamics Interacting particle system Continuous system Ovsjannikov’s method Vlasov scaling |
description |
We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012 2012-01-01T00:00:00Z 2013-07-22T09:52:43Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.2/2593 |
url |
http://hdl.handle.net/10400.2/2593 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Finkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João - Glauber dynamics in the continuum via generating functionals evolution. "Complex Analysis and Operator Theory" [Em linha]. ISSN 1661-8254 (Print) 1661-8262 (Online). Vol. 6, nº 4 (2012), p. 923-945 1661-8254 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Birkhauser |
publisher.none.fl_str_mv |
Birkhauser |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
_version_ |
1799135008834715648 |